Distribute to Solve an Equation

Distribute to Solve an Equation

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

10th - 12th Grade

Hard

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The video tutorial explains how to solve a standardized math test question by distributing terms in an equation. It begins with distributing 2/3 to both terms inside the parentheses, then isolating the variable W by subtracting 2 from both sides. The solution involves multiplying by the reciprocal of 2/3 to solve for W, resulting in a mixed number answer of 7 1/2.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation 2/3 * W + 3 = 7?

Add 3 to both sides

Distribute 2/3 to both terms

Subtract 3 from both sides

Multiply both sides by 3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After distributing 2/3, what is the next step to isolate the variable term?

Add 2 to both sides

Multiply by 3

Subtract 2 from both sides

Divide by 2/3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is equivalent to dividing by a fraction?

Adding the fraction

Dividing by the reciprocal

Subtracting the fraction

Multiplying by the reciprocal

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of 2/3?

3/2

2/3

1/3

3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final answer for W in the equation 2/3 * W + 3 = 7?

7 1/2

7

6 1/2

5